///////////////////////////////////////////////////////////////////////////////////
/// OpenGL Mathematics (glm.g-truc.net)
///
/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
/// Permission is hereby granted, free of charge, to any person obtaining a copy
/// of this software and associated documentation files (the "Software"), to deal
/// in the Software without restriction, including without limitation the rights
/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
/// copies of the Software, and to permit persons to whom the Software is
/// furnished to do so, subject to the following conditions:
/// 
/// The above copyright notice and this permission notice shall be included in
/// all copies or substantial portions of the Software.
/// 
/// Restrictions:
///		By making use of the Software for military purposes, you choose to make
///		a Bunny unhappy.
/// 
/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref gtx_vector_query
/// @file glm/gtx/vector_query.inl
/// @date 2008-03-10 / 2011-06-07
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////

#include <cassert>

namespace glm {
    namespace detail {
        template<typename T, precision P, template<typename, precision> class vecType>
        struct compute_areCollinear {
        };

        template<typename T, precision P>
        struct compute_areCollinear<T, P, tvec2> {
            GLM_FUNC_QUALIFIER static bool
            call(tvec2 <T, P> const &v0, tvec2 <T, P> const &v1, T const &epsilon) {
                return length(cross(tvec3<T, P>(v0, static_cast<T>(0)),
                                    tvec3<T, P>(v1, static_cast<T>(0)))) < epsilon;
            }
        };

        template<typename T, precision P>
        struct compute_areCollinear<T, P, tvec3> {
            GLM_FUNC_QUALIFIER static bool
            call(tvec3 <T, P> const &v0, tvec3 <T, P> const &v1, T const &epsilon) {
                return length(cross(v0, v1)) < epsilon;
            }
        };

        template<typename T, precision P>
        struct compute_areCollinear<T, P, tvec4> {
            GLM_FUNC_QUALIFIER static bool
            call(tvec4 <T, P> const &v0, tvec4 <T, P> const &v1, T const &epsilon) {
                return length(cross(tvec3<T, P>(v0), tvec3<T, P>(v1))) < epsilon;
            }
        };

        template<typename T, precision P, template<typename, precision> class vecType>
        struct compute_isCompNull {
        };

        template<typename T, precision P>
        struct compute_isCompNull<T, P, tvec2> {
            GLM_FUNC_QUALIFIER static tvec2<bool, P>
            call(tvec2<T, P> const & v, T const &epsilon)
            {
                return tvec2 < bool, P > (
                        (abs(v.x) < epsilon),
                                (abs(v.y) < epsilon));
            }
        };

        template<typename T, precision P>
        struct compute_isCompNull<T, P, tvec3> {
            GLM_FUNC_QUALIFIER static tvec3<bool, P>
            call(tvec3<T, P> const & v, T const &epsilon)
            {
                return tvec3 < bool, P > (
                        (abs(v.x) < epsilon),
                                (abs(v.y) < epsilon),
                                (abs(v.z) < epsilon));
            }
        };

        template<typename T, precision P>
        struct compute_isCompNull<T, P, tvec4> {
            GLM_FUNC_QUALIFIER static tvec4<bool, P>
            call(tvec4<T, P> const & v, T const &epsilon)
            {
                return tvec4 < bool, P > (
                        (abs(v.x) < epsilon),
                                (abs(v.y) < epsilon),
                                (abs(v.z) < epsilon),
                                (abs(v.w) < epsilon));
            }
        };

    }//namespace detail

    template<typename T, precision P, template<typename, precision> class vecType>
    GLM_FUNC_QUALIFIER bool areCollinear
            (
                    vecType<T, P> const &v0,
                    vecType<T, P> const &v1,
                    T const &epsilon
            ) {
        GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559,
                          "'areCollinear' only accept floating-point inputs");

        return detail::compute_areCollinear<T, P, vecType>::call(v0, v1, epsilon);
    }

    template<typename T, precision P, template<typename, precision> class vecType>
    GLM_FUNC_QUALIFIER bool areOrthogonal
            (
                    vecType<T, P> const &v0,
                    vecType<T, P> const &v1,
                    T const &epsilon
            ) {
        GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559,
                          "'areOrthogonal' only accept floating-point inputs");

        return abs(dot(v0, v1)) <= max(
                static_cast<T>(1),
                length(v0)) * max(static_cast<T>(1), length(v1)) * epsilon;
    }

    template<typename T, precision P, template<typename, precision> class vecType>
    GLM_FUNC_QUALIFIER bool isNormalized
            (
                    vecType<T, P> const &v,
                    T const &epsilon
            ) {
        GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559,
                          "'isNormalized' only accept floating-point inputs");

        return abs(length(v) - static_cast<T>(1)) <= static_cast<T>(2) * epsilon;
    }

    template<typename T, precision P, template<typename, precision> class vecType>
    GLM_FUNC_QUALIFIER bool isNull
            (
                    vecType<T, P> const &v,
                    T const &epsilon
            ) {
        GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559,
                          "'isNull' only accept floating-point inputs");

        return length(v) <= epsilon;
    }

    template<typename T, precision P, template<typename, precision> class vecType>
    GLM_FUNC_QUALIFIER vecType<bool, P>
    isCompNull
    (
            vecType<T, P>
    const & v,
    T const &epsilon
    ) {
    GLM_STATIC_ASSERT(std::numeric_limits<T>::is_iec559,
    "'isCompNull' only accept floating-point inputs");

    return
    detail::compute_isCompNull<T, P, vecType>::call(v, epsilon
    );
}

template<typename T, precision P>
GLM_FUNC_QUALIFIER tvec2<bool, P>
isCompNull
(
        tvec2<T, P>
const & v,
T const &epsilon
)
{
return
tvec2<bool, P>(
        abs(v.x)
< epsilon,
abs(v
.y) < epsilon);
}

template<typename T, precision P>
GLM_FUNC_QUALIFIER tvec3<bool, P>
isCompNull
(
        tvec3<T, P>
const & v,
T const &epsilon
)
{
return
tvec3<bool, P>(
        abs(v.x)
< epsilon,
abs(v
.y) < epsilon,
abs(v
.z) < epsilon);
}

template<typename T, precision P>
GLM_FUNC_QUALIFIER tvec4<bool, P>
isCompNull
(
        tvec4<T, P>
const & v,
T const &epsilon
)
{
return
tvec4<bool, P>(
        abs(v.x)
< epsilon,
abs(v
.y) < epsilon,
abs(v
.z) < epsilon,
abs(v
.w) < epsilon);
}

template<typename T, precision P, template<typename, precision> class vecType>
GLM_FUNC_QUALIFIER bool areOrthonormal
        (
                vecType<T, P> const &v0,
                vecType<T, P> const &v1,
                T const &epsilon
        ) {
    return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
}

}//namespace glm
